Development of a model for the disposal of space debris during combustion in the atmosphere
https://doi.org/10.26467/2079-0619-2022-25-5-80-92
Abstract
Due to the increasing use of outer space, the issue of space debris disposal (SD) is becoming an urgent problem. Of the known disposal methods (using a solar sail, atmospheric resistance, electrodynamic cable system, laser, ion flow, gravitational cleaner, contact method), the article focuses on the method of burning up space debris in the Earth’s atmosphere by engaging it with a special device for collecting SD and impulse emitting by a debris collector to deorbit with certain parameters. Based on the methodologies of computing the trajectories of the object descent via the extra-atmospheric and atmospheric areas, as well as heat calculation, a mathematical model was developed in the Mathcad system to calculate the timespan required for the complete destruction of SD in the Earth's atmosphere. A comparative analysis was carried out on the accumulated heat flux, as well as on the duration and altitude at which SD, containing aluminum or refractory metals such as titanium and tungsten, will burn up. The altitudes optimal for burning up SD were determined and evaluated. They are acceptable according to the criterion of public safety. The conducted computational experiment revealed that SD made of an aluminum alloy weighing 10 kg burns up at an altitude of 94.9 km, a 17 kg titanium piece burns at an altitude of 94.7 km, a 73 kg tungsten piece does at an altitude of 97.7 km. Thus, this model allows us to classify the existing SD objects into those that can burn up in the atmosphere before reaching a given altitude (not reaching the Earth’s surface), and those that require the employment of other methods to clean space from debris.
About the Authors
O. G. FeoktistovaRussian Federation
Oksana G. Feoktistova, Doctor of Technical Sciences, Associate Professor, Head of the Computing Machinery, Complexes, Systems and Networks Chair
Moscow
I. I. Turkina
Russian Federation
Irina I. Turkina, Design Engineer of SPA “Molniya”, Student of the Aerospace Faculty
Moscow
References
1. Kuznetsov, S. (2018). [Garbage belt. How many pieces of spacecraft are in the orbit and how to remove them from there]. nplus1.ru. Available at: https://nplus1.ru/material/2018/04/03/space-debris (accessed: 20.04.2022). (in Russian)
2. Klyushnikov, V.Yu. (2021). Kessler's syndrome: will the road to space be closed? Aerospace Sphere Journal, no. 4, pp. 32–43. (in Russian)
3. Poghosyan, M.A. (Ed.). (2018). [Aircraft design]. 5th ed., reprint and add. Moscow: Innovatsionnoye mashinostroyeniye, 864 p. (in Russian)
4. Yasuhiro, A., Ryuta, N. & Makoto, T. (2001). Development of bumper shield using low density materials. International Journal of Impact Engineering, vol. 26, issue 1-10, pp. 13–19. DOI:10.1016/S0734743X(01)00069-0
5. Belokonov, I.V. (1994). [Ballistic characteristics calculation of spacecraft motion: Textbook]. Samara: Samarskiy aerokosmicheskiy universitet, 76 p. (in Russian)
6. Dugin, D.A. (2017). Flight module and Venus entry vehicle. Politechnical Student Journal, no. 8, p. 3. DOI:10.18698/2541-8009-2017-8-154 (in Russian)
7. Garbuzov, V.M., Ermakov, A.L., Kublanov, M.S. & Tsipenko, V.G. (2000). [Aeromechanics: Studies for university students]. Moscow: Transport, 286 p. (in Russian)
8. Konstantinov, M.S., Kamenkov, Ye.F., Perelygin, B.P. & Bezverbyy, V.P. (1989). [Mechanics of space flight: Studies for higher education institutions], in Mishin V.P. (Ed.). Moscow: Mashinostroyeniye, 406 p. (in Russian)
9. Yaroshevskiy, V.A. (1988). [Entry into the atmosphere of space aircraft]. Moscow: Nauka, 336 p. (in Russian)
10. Balk, M.B. (1965). [Elements of space flight dynamics]. Moscow: Nauka, 340 p. (in Russian)
11. Mirer, S.A. (2007). [Mechanics of space flight. Orbital motion: Textbook]. Moscow: Rezolit, 108 p. (in Russian)
12. Krasnov, N.F. (1980). [Aerodynamics. In 2 vols. Vol. 1: Fundamentals of theory. Airfoil and wing aerodynamics]. 3 rd ed., pererab. i dop. Moscow: Vyshaya shkola, 496 p. (in Russian)
13. Bochkarev, A.F., Andreevskiy, V.V., Belokonov, V.M. et al. (1985). [Aircraft aeromechanics: flight dynamics: a textbook for aviation universities], in Bochkarev A.F., Andreevskiy V.V. (Ed.). 2nd ed., pererab. i dop. Moscow: Mashinostroyeniye, 360 p. (in Russian)
14. Makarov, V. (2021). [Martian helicopter ingenuity returns to the point of its first flight]. Techinsider.ru. Available at: https://www.popmech.ru/technologies/772493-marsianskay-vertolet-ingenuityvozvrashchaetsya-v-tochku-svoego-pervogovyleta/ (accessed: 04.04.2022). (in Russian)
15. Fedorchenko, E.A. & Nikitin, P.V. (2012). Heat and mass exchange on a permeable surface of the system of the thermal protection of the descent vehicle of the spacecraft small form. Trudy MAI, no. 50, 21 p. Available at: chromeextension://efaidnbmnnnibpcajpcglclefindmkaj/ https://trudymai.ru/upload/iblock/ce8/teplo-_-imassoobmen-na-pronitsaemoy-poverkhnostisistemy-teplovoy-zashchity-spuskaemogokosmicheskogo-apparata-maloyformy.pdf?lang=ru&issue=50 (accessed: 04.04.2022). (in Russian)
16. Sotnik, Ye.V. & Nikitin, P.V. (2013). [Catalysis and radiation in the systems of thermal protection of spacecraft]. Moscow: Yanus-K, 336 p. (in Russian)
17. Polezhaev, Yu.V. & Frolov, G.A. (2005). [Thermal destruction of materials: Monography], in Academician of the NAN of Ukraine Skorokhodov V.V. (Ed.). Kiev: Izdatestvo IMP NANU, 288 p. (in Russian)
18. Reznik, S.V., Denisov, O.V., Prosuntsov, P.V., Timoshenko, V.P. & Shulyakovskii, A.V. (2013). Thermal-vacuum tests of hollow composite rods intended for structures in space. Polymer Science. Series D, vol. 6, no. 3, pp. 242–245. DOI:10.1134/S1995421213030192
19. Bodnya, I.S. & Timoshenko, V.P. (2018). Numerical modeling of a wing leadingedge thermal regimes for a reusable space vehicle. RUDN Journal of Engineering Research, vol. 19, no. 1, pp. 7–21. DOI:10.22363/2312-8143-2018-19-1-7-21 (in Russian)
20. Polezhaev, Yu.V. & Yurevich, F.B. (1976). [Thermal protection]. Moscow: Energiya, 390 p. (in Russian)
21. Denisov, O.V., Kalinin, D.Yu. & Reznik, S.V. (2008). [Modeling of the temperature state of composite rod space structures elements]. Vestnik MGTU im. N.Ye. Baumana. Seriya Mashinostroyeniye, no. S, pp. 183–192. (in Russian)
22. Reznik, S.V. & Kalinin, D.Yu. (2003). [Thermal regimes simulation of large space structures: Tutorial]. Moscow: Izdatelstvo MGTU im. N.Ye. Baumana, 52 p. (in Russian)
23. Lyndon, B. (2009). Handbook for designing MMOD Protection. Texas: NASA, 135 p.
24. Kushner, V.S., Vereshchaka, A.S., Skhirtlazdze, A.G., Negrov, D.A. & Burgonova, O.Y. (2008). [Materials Science: studies. For university students], in Kushner V.S. (Ed.). Omsk: Izdatelstvo OmGTU, 232 p. (in Russian)
Review
For citations:
Feoktistova O.G., Turkina I.I. Development of a model for the disposal of space debris during combustion in the atmosphere. Civil Aviation High Technologies. 2022;25(5):80-92. (In Russ.) https://doi.org/10.26467/2079-0619-2022-25-5-80-92